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Daily Sudoku Answer 



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May 05 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s020468



Reasoning 



R9C7 can only be <7>

R5C5 is the only square in row 5 that can be <4>

R9C1 is the only square in row 9 that can be <5>

R9C6 is the only square in row 9 that can be <8>

R3C2 is the only square in column 2 that can be <4>

R5C3 is the only square in column 3 that can be <6>

R2C6 is the only square in column 6 that can be <4>

R3C1 is the only square in block 1 that can be <2>

R3C6 can only be <3>

R1C1 is the only square in row 1 that can be <3>

R8C5 is the only square in row 8 that can be <3>

R2C8 is the only square in block 3 that can be <5>

R5C8 can only be <9>

R5C1 can only be <7>

R4C8 can only be <3>

R6C8 can only be <6>

R9C9 is the only square in row 9 that can be <3>

R4C9 is the only square in column 9 that can be <7>

Squares R7C8 and R9C8 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C9 - removing <1> from <126> leaving <26>

Intersection of row 4 with block 4. The value <8> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R5C2 - removing <8> from <258> leaving <25>

R4C2 is the only square in column 2 that can be <8>

Intersection of row 4 with block 5. The value <2> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R6C5 - removing <2> from <257> leaving <57>

R6C6 - removing <2> from <279> leaving <79>

R8C6 is the only square in column 6 that can be <2>

Squares R9C4, R9C8, R7C4 and R7C8 form a Type-1 Unique Rectangle on <14>.

R7C4 - removing <14> from <1467> leaving <67>

R7C8 is the only square in row 7 that can be <4>

R9C8 can only be <1>

R9C4 can only be <4>

Squares R3C3 and R3C5 in row 3 and R7C3 and R7C5 in row 7 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 3 and 5 can be removed.

R1C3 - removing <1> from <157> leaving <57>

R2C3 - removing <1> from <178> leaving <78>

R2C5 - removing <1> from <127> leaving <27>

Squares R2C5<27>, R4C5<25> and R6C5<57> in column 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <257>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R7C5 - removing <7> from <167> leaving <16>

Intersection of block 8 with column 4. The value <7> only appears in one or more of squares R7C4, R8C4 and R9C4 of block 8. These squares are the ones that intersect with column 4. Thus, the other (non-intersecting) squares of column 4 cannot contain this value.

R1C4 - removing <7> from <1679> leaving <169>

R2C4 - removing <7> from <127> leaving <12>

Squares R3C7 (XY), R3C5 (XZ) and R2C9 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.

R2C4 - removing <1> from <12> leaving <2>

R2C5 can only be <7>

R4C4 can only be <9>

R2C3 can only be <8>

R6C5 can only be <5>

R1C6 can only be <9>

R4C3 can only be <5>

R6C6 can only be <7>

R6C7 can only be <2>

R4C5 can only be <2>

R6C2 can only be <1>

R5C9 can only be <8>

R2C9 can only be <1>

R3C3 can only be <1>

R1C9 can only be <6>

R3C5 can only be <6>

R3C7 can only be <8>

R7C5 can only be <1>

R1C4 can only be <1>

R5C7 can only be <5>

R1C3 can only be <7>

R5C2 can only be <2>

R6C1 can only be <9>

R8C2 can only be <7>

R8C4 can only be <6>

R1C2 can only be <5>

R7C3 can only be <9>

R8C7 can only be <9>

R7C4 can only be <7>

R8C1 can only be <1>

R7C7 can only be <6>

R7C9 can only be <2>



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